I'm looking for a good reference on integral equations (i.e., an equation in which an unknown function appears under an integral sign such as the Fredholm equation). I would like something accessible but covers approaches to showing existence. Any help would be much appreciated.
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1$\begingroup$ You need to tell exactly what you mean by "integral equations". Is it equations involving integers in number theory? Or the integrals we see in calculus? Or something else? $\endgroup$– AryabhataFeb 29, 2012 at 21:18
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1$\begingroup$ Search for "Smithies Integral equations" on Google books. $\endgroup$– Hans LundmarkMar 1, 2012 at 7:13
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5 Answers
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You may think of this classic by Grippenberg, Londen, Staffans.
It is quite complete and also accessible compared to other books, but not an easy reading.
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Here is a well written book and easy to read by A. Jerri "Introduction to Integral Equations with Applications".
answered Mar 1, 2013 at 14:41
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Stephen M.Zemyan, The Classical Theory of Integral Equations, A Concise Treatment, Birkhauser Recently, I'm reading this book. I think it is the best one for beginner.
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I am reading Linear Integral Equations by William Vernon Lovitt and finding it quite easy to understand. If you are a beginner, you should definitely try that.
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Handbook of Integral Equations: Polyanin, Andrei D. Manzhirov is avaliable on the P2P servers or it can be found easily
it dealsh with integral equations how to solve it with examples and similar
answered Mar 1, 2013 at 14:34